Solve for x
x = -\frac{17}{5} = -3\frac{2}{5} = -3.4
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x-3-\left(-x\right)=7\left(x+2\right)
To find the opposite of 3-x, find the opposite of each term.
x-3+x=7\left(x+2\right)
The opposite of -x is x.
2x-3=7\left(x+2\right)
Combine x and x to get 2x.
2x-3=7x+14
Use the distributive property to multiply 7 by x+2.
2x-3-7x=14
Subtract 7x from both sides.
-5x-3=14
Combine 2x and -7x to get -5x.
-5x=14+3
Add 3 to both sides.
-5x=17
Add 14 and 3 to get 17.
x=\frac{17}{-5}
Divide both sides by -5.
x=-\frac{17}{5}
Fraction \frac{17}{-5} can be rewritten as -\frac{17}{5} by extracting the negative sign.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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